A characterization of strong preservers of matrix majorization

DOI10.1016/S0024-3795(02)00657-2zbMath1032.15002MaRDI QIDQ1873720

Sang-Gu Lee, You-Ho Lee, Leroy B. Beasley

Publication date: 27 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

linear preservermatrix majorizationrow stochastic matrix

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21) Stochastic matrices (15B51)

Related Items (14)

Linear operators preserving combinatorial matrix sets ⋮ Characterization of strong preserver operators of convex equivalent on the space of all real sequences tend to zero ⋮ Linear preservers of ultraweak, row, and weakly Hadamard majorization on \(M_{mn}\) ⋮ On linear preservers of (right) matrix majorization ⋮ G-tridiagonal majorization on \(\mathbf{M}_{n,m}\) ⋮ Linear operators preserving and converting majorizations of the \((0, 1)\)-vectors ⋮ Linear maps which preserve or strongly preserve weak majorization ⋮ Linear preserves of chain majorization ⋮ Converting column majorization ⋮ Unnamed Item ⋮ Linear preservers of Hadamard majorization ⋮ Unnamed Item ⋮ Linear operators preserving strong majorization of (0,1)-matrices ⋮ Characterization of two-sided order preserving of convex majorization on lp(I)

Cites Work

• Matrix majorization
• Majorizations and inequalities in matrix theory
• Comments on and complements to: ``Inequalities: Theory of majorization and its applications, by Albert W. Marshall and Ingram Olkin
• Linear operators preserving multivariate majorization
• Linear maps preserving permutation and stochastic matrices
• Unnamed Item
• Unnamed Item

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